This book is the first to present the application of the hybrid system theory to systems with EPCA (equations with piecewise
continuous arguments). The hybrid system paradigm is a valuable modeling tool for describing a wide range of real-world applications.
Moreover, although new technology has produced, and continues to produce highly hierarchical sophisticated machinery that
cannot be analyzed as a whole system, hybrid system representation can be used to reduce the structural complexity of these
systems. That is to say, hybrid systems have become a modeling priority, which in turn has led to the creation of a promising
research field with several application areas. As such, the book explores recent developments in the area of deterministic
and stochastic hybrid systems using the Lyapunov and Razumikhin-Lyapunov methods to investigate the systems' properties. It
also describes properties such as stability, stabilization, reliable control, H-infinity optimal control, input-to-state stability
(ISS)/stabilization, state estimation, and large-scale singularly perturbed systems.